When We Talk Mathematics, We

Life Is A Process Which May Be Abstracted From Other Media.

The Total Subject Of Mathematics Is Clearly Too Broad For Any Of Us. I Do Not Think That Any Mathematician Since Gauss Has Covered It Uniformly And Fully; Even Hilbert Did Not And All Of Us Are Of Considerably Lesser Width Quite Apart From The Question Of Depth Than Hilbert.

The Most Vitally Characteristic Fact About Mathematics Is, In My Opinion, Its Quite Peculiar Relationship To The Natural Sciences, Or More Generally, To Any Science Which Interprets Experience On A Higher Than Purely Descriptive Level.

Anyone Who Attempts To Generate Random Numbers By Deterministic Means Is, Of Course, Living In A State Of Sin.

By And Large It Is Uniformly True In Mathematics That There Is A Time Lapse Between A Mathematical Discovery And The Moment When It Is Useful; And That This Lapse Of Time Can Be Anything From 30 To 100 Years, In Some Cases Even More; And That The Whole System Seems To Function Without Any Direction, Without Any Reference To Usefulness, And Without Any Desire To Do Things Which Are Useful.